### The set {1,2,3,...}

A very simple example goes as follows:
we can divide the set N={1,2,3,4,5,6,7,8,...} into two pieces that we can rearrange
so as to form the set M={1,2,4,5,6,7,8,9,10,...}.
P_{1} consists of all multiples of 3 and P_{2} consists of the rest of N.
Leave P_{2} where it is and move P_{1} three units to the right,
this gives us {1,2,4,5,3,7,8,6,...}, which looks just like M.

k.p.hart@its.tudelft.nl
Last modified: Wednesday 26-02-2003 at 10:35:56 (CET)